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<p><dfn class="terminology">Theorem</dfn> Suppose that <span class="process-math">\({\bf x}^{(1)}, {\bf x}^{(2)}, \cdots, {\bf x}^{(n)}\)</span> are solutions of (<a href="" class="xref" data-knowl="./knowl/eq7_5.html" title="Equation 6.1.5">(6.1.5)</a>). If <span class="process-math">\(W[{\bf x}^{(1)}, {\bf x}^{(2)}, \cdots, {\bf x}^{(n)})] \neq 0\text{,}\)</span> (i.e., <span class="process-math">\({\bf x}^{(1)}, {\bf x}^{(2)}, \cdots, {\bf x}^{(n)}\)</span> are linear independent), the general solution of (<a href="" class="xref" data-knowl="./knowl/eq7_5.html" title="Equation 6.1.5">(6.1.5)</a>) is given by</p>
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\begin{equation}
{\bf x}=C_1 {\bf x}^{(1)}+C_2 {\bf x}^{(2)}+\cdots+C_n {\bf x}^{(n)}.\tag{6.1.6}
\end{equation}
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